https://openreview.net/forum?id=DBBF7G4BMOj
Shape-Tailored Deep Neural Networks With PDEs | OpenReview
We present Shape-Tailored Deep Neural Networks (ST-DNN). ST-DNN are deep networks formulated through the use of partial differential equations (PDE) to be...
deep neural networksshapetailoredpdesopenreview
https://www.nist.gov/publications/use-gmap-software-pdes-environment-national-pdes-testbed-project-0
The use of GMAP software as a PDES environment in the national PDES testbed project: | NIST
https://jmlr.org/papers/v26/25-1383.html
Global Convergence of Adjoint-Optimized Neural PDEs
global convergenceadjointoptimizedneuralpdes
https://www.tu-braunschweig.de/en/wire/teaching/previous-terms/summer-2016/numerical-methods-for-pdes
Numerical Methods for PDEs
numerical methodspdes
https://openreview.net/forum?id=aUX5Plaq7Oy
Learning continuous-time PDEs from sparse data with graph neural networks | OpenReview
The behavior of many dynamical systems follow complex, yet still unknown partial differential equations (PDEs). While several machine learning methods have...
graph neural networkscontinuous time
https://jmlr.org/papers/v24/22-1075.html
Neural Q-learning for solving PDEs
q learningneuralsolvingpdes
https://www.aub.edu.lb/fas/math/Pages/research-applied.aspx
PDEs and Numerical Analysis
pdesnumericalanalysis
https://openreview.net/forum?id=1J9xoPFaKU
Neural oscillators for generalizing parametric PDEs | OpenReview
Parametric partial differential equations (PDEs) are ubiquitous in various scientific and engineering fields, manifesting the behavior of systems under varying...
neuraloscillatorsgeneralizingparametricpdes
https://openreview.net/forum?id=JbTenh2zqk
Adaptive Multilevel Neural Networks for Parametric PDEs with Error Estimation | OpenReview
To solve high-dimensional parameter-dependent partial differential equations (pPDEs), a neural network architecture is presented. It is constructed to map...
neural networksadaptivemultilevel
https://www.unsw.edu.au/science/our-schools/maths/engage-with-us/seminars/2019/non-linear-reduced-modelling-parametric-pdes
Non-linear reduced modelling for parametric PDEs
non linearreducedmodellingparametricpdes
https://openreview.net/forum?id=g9olLDlaqH
Neural Emulator Superiority: When Machine Learning for PDEs Surpasses its Training Data | OpenReview
Neural operators or emulators for PDEs trained on data from numerical solvers are conventionally assumed to be limited by their training data's fidelity. We...
https://arxiv.org/abs/2312.05606
[2312.05606] Fractional Dissipative PDEs
Abstract page for arXiv paper 2312.05606: Fractional Dissipative PDEs
231205606fractionaldissipativepdes
https://www.pnnl.gov/publications/tackling-curse-dimensionality-fractional-and-tempered-fractional-pdes-physics-informed
Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with...
the curse oftacklingdimensionality
https://openreview.net/forum?id=5UJF5j86ti&referrer=%5Bthe%20profile%20of%20Xavier%20Warin%5D(%2Fprofile%3Fid%3D~Xavier_Warin1)
Approximation error analysis of some deep backward schemes for nonlinear PDEs | OpenReview
Recently proposed numerical algorithms for solving high-dimensional nonlinear partial dif- ferential equations (PDEs) based on neural networks have shown their...
approximation error
https://arxiv.org/abs/1412.1624
[1412.1624] On some linear parabolic PDEs on moving hypersurfaces
Abstract page for arXiv paper 1412.1624: On some linear parabolic PDEs on moving hypersurfaces
14121624linearparabolicpdes
https://www.mathworks.com/matlabcentral/fileexchange/46465-parallel-implementation-of-the-picard-iteration-for-linear-bvp-pdes
Parallel Implementation of the Picard Iteration For Linear BVP PDEs - File Exchange - MATLAB Central
Download and share free MATLAB code, including functions, models, apps, support packages and toolboxes
https://www.preprints.org/manuscript/202507.0785
Reduced Order Data-Driven Twin Models for Nonlinear PDEs by Randomized Koopman Orthogonal...
This study presents a novel framework for constructing reduced-order, data-driven twin models for nonlinear partial differential equations, introducing the...
https://www.analysispde.mat.ufs.br/home
8th Workshop on Analysis and PDEs
8thworkshopanalysispdes
https://arxiv.org/list/math.AP/recent?skip=93&show=25
Analysis of PDEs
analysispdes
https://arxiv.org/abs/1607.08014
[1607.08014] The geometry of differential constraints for a class of evolution PDEs
Abstract page for arXiv paper 1607.08014: The geometry of differential constraints for a class of evolution PDEs
the geometry
https://www.mapleprimes.com/questions/223157-Want-To-Draw-Of-The-Graph-Of-System-Of-PDEs
Want to draw of the graph of system of PDEs - MaplePrimes
want toof thedrawgraphsystem
https://www.mapleprimes.com/questions/234558-Numerical-Schemes-For-Second-Order-Mixed
Numerical schemes for second order mixed PDEs in maple - MaplePrimes
second ordernumericalschemesmixedpdes
https://trendpde.impa.br/
Trends in Analysis & PDEs
trendsanalysispdes
https://arxiv.org/abs/2106.08900v1
[2106.08900v1] Random feature neural networks learn Black-Scholes type PDEs without curse of...
Abstract page for arXiv paper 2106.08900v1: Random feature neural networks learn Black-Scholes type PDEs without curse of dimensionality
https://rd.pdes-ch.org/
PDES Requirement Management System
pdesrequirementmanagementsystem
https://www.umass.edu/mathematics-statistics/events/some-recent-progress-integrable-pdes-0
Some recent progress on integrable PDEs : Department of Mathematics and Statistics : UMass Amherst
In this talk, I will survey some recent work on the dynamics of solutions to integrable PDEs in translation-invariant spaces.
department of mathematics
https://www.uni-muenster.de/MathematicsMuenster/events/2021/new-trends-in-geometric-PDEs.shtml
New Trends in Geometric PDEs
new trendsgeometricpdes
https://www.mdpi.com/2073-8994/7/4/1989
Centrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs
extendedconformalgalileialgebrasinvariant
https://www.mdpi.com/2227-9091/8/4/136
A Deep Neural Network Algorithm for Semilinear Elliptic PDEs with Applications in Insurance...
In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the...
deep neural network
https://www.kth.se/math/kalender/numerical-methods-for-pdes-and-their-applications-1.1339583?date=2024-06-03&orgdate=2024-02-13&length=1&orglength=0
Numerical Methods for PDEs and Their Applications | KTH
numerical methodspdesapplicationskth
https://arxiv.org/list/math.AP/2015-08?skip=0&show=25
Analysis of PDEs Aug 2015
analysis of pdesaug2015
https://arxiv.org/abs/2407.09284
[2407.09284] A Deep BSDE approximation of nonlinear integro-PDEs with unbounded nonlocal operators
Abstract page for arXiv paper 2407.09284: A Deep BSDE approximation of nonlinear integro-PDEs with unbounded nonlocal operators
https://www.wolfram.com/mathematica/new-in-10/pdes-and-finite-elements/solve-pdes-with-material-regions.html.en?footer=lang
Solve PDEs with Material Regions: New in Mathematica 10
new insolvepdesmaterialregions
https://sites.google.com/view/pdesinaction/informations
PDEs in Action - Informations
Conference Venue Department of Mathematics
in actionpdesinformations
https://www.oregon.gov/oha/PH/PROVIDERPARTNERRESOURCES/EVALUATIONRESEARCH/PROGRAMDESIGNANDEVALUATIONSERVICES/Pages/Measuring-Social-Resilience.aspx
Oregon Health Authority : PDES Investigates Methods for Measuring Social Resilience : Program...
PDES Investigates Methods for Measuring Social Resilience
oregon health authoritysocial resiliencepdesinvestigates
https://www.sintef.no/projectweb/evita/2004/
2004: Evolutionary PDEs
2004evolutionarypdes
https://openreview.net/forum?id=MtekhXRP4h
Convolutional Neural Operators for robust and accurate learning of PDEs | OpenReview
Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function...
neural operatorsrobust
https://arxiv.org/list/math.AP/pastweek?skip=25&show=25
Analysis of PDEs
analysispdes
https://arxiv.org/list/math.AP/recent?skip=62&show=25
Analysis of PDEs
analysispdes
https://arxiv.org/html/2507.12385v1
Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions
https://pdemathbio.sciencesconf.org/
Workshop on PDEs and Mathematical Biology - Sciencesconf.org
mathematical biologyworkshoppdes
https://www.umass.edu/mathematics-statistics/events/some-recent-progress-integrable-pdes
Some recent progress on integrable PDEs : Department of Mathematics and Statistics : UMass Amherst
Integrable PDEs arise as leading-order models in an astoundingly wide range of physical scenarios, such as fluid dynamics, ferromagnetism, and nonlinear...
department of mathematics
https://www.kth.se/math/kalender/phd-course-nonlinear-pdes-and-free-boundaries-1.1351903?date=2024-09-03&orgdate=2024-02-13&length=1&orglength=0
PhD Course: Nonlinear PDEs and free boundaries | KTH
phd coursenonlinearpdesfreeboundaries
https://openreview.net/forum?id=6wpInwnzs8
WaveBench: Benchmarking Data-driven Solvers for Linear Wave Propagation PDEs | OpenReview
Wave-based imaging techniques play a critical role in diverse scientific, medical, and industrial endeavors, from discovering hidden structures beneath the...
data drivenwave propagationbenchmarkingsolvers
https://www.preprints.org/manuscript/201901.0330
An Efficient Local Formulation for Time-Dependent PDEs[v1] | Preprints.org
In this paper, a local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs, due to the...
for timeefficientlocalformulation
https://warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/pdesandgeometry/
PDEs and Geometry
pdesgeometry
https://www.sintef.no/projectweb/evita/2003/
2003: Nonlinear PDEs
2003nonlinearpdes
https://www.sfu.ca/physics/news-events/events/2025/nov/event2.html
Developing mechanobiochemical models using geometric bulk-surface PDEs for cell migration in...
https://www.kth.se/math/kalender/igor-tominec-stability-aspects-of-radial-basis-function-methods-for-solving-pdes-1.1278900?date=2023-09-20&orgdate=2023-06-04&length=1&orglength=0
Igor Tominec: Stability Aspects of Radial Basis Function Methods for Solving PDEs | KTH
radial basis function
https://openreview.net/forum?id=rY6mQMW8nS
EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs | OpenReview
Deep learning surrogates for 3D Partial Differential Equations (PDEs) often fail to generalize across geometric transformations because they depend heavily on...
neural operatorsequivariantgeometryinformedfourier
https://www.umass.edu/mathematics-statistics/events/jiequn-han-deep-picard-iteration-solving-high-dimensional-pdes-regression-based-learning
Jiequn Han: Deep Picard Iteration: Solving High-Dimensional PDEs via Regression-Based Learning :...
https://www.mapleprimes.com/questions/240660-How-Separate-Linear-And-Nonlinear-Of
How separate linear and nonlinear of pdes which contain two function? - MaplePrimes
https://www.pdes-ch.org/
PDES Collaboration Hub
pdescollaborationhub
https://arxiv.org/abs/1403.4500
[1403.4500] An abstract framework for parabolic PDEs on evolving spaces
Abstract page for arXiv paper 1403.4500: An abstract framework for parabolic PDEs on evolving spaces
14034500abstractframework
https://arxiv.org/list/math.AP/2020-08?skip=100&show=25
Analysis of PDEs Aug 2020
analysis of pdesaug2020
https://studylib.net/doc/25565885/local-media3723189894258334499
Numerical Methods: Trapezoidal Rule, Parabolic PDEs, Shooting Method
Lecture notes covering numerical integration (Trapezoidal Rule), parabolic PDEs, and the shooting method for ODEs. Includes examples and problems.
numerical methodstrapezoidal ruleparabolicpdesshooting
https://www.imperial.ac.uk/ammp/seminars--events/ammp-research-group-seminars/applied-pdes-seminar/
Applied PDEs Seminar | Faculty of Natural Sciences | Imperial College London
Applied PDEs Seminar
faculty of natural sciencesimperial collegeappliedpdesseminar
https://warwick.ac.uk/fac/sci/maths/research/events/2016-17/symposium/npde/
One day meeting in Nonlinear PDEs
one daymeetingnonlinearpdes
https://arxiv.org/abs/2601.03668
[2601.03668] Discontinuous Galerkin finite element operator network for solving non-smooth PDEs
Abstract page for arXiv paper 2601.03668: Discontinuous Galerkin finite element operator network for solving non-smooth PDEs
https://www.kth.se/math/kalender/master-thesis-project-numerical-solutions-of-semilinear-elliptic-pdes-and-optimal-control-problems-1.1375731?date=2024-12-13&orgdate=2024-02-13&length=1&orglength=0
Master thesis project: Numerical Solutions of Semilinear Elliptic PDEs and Optimal Control Problems...
Abstract: This thesis addresses the topic of semilinear partial differential equations (PDEs) with homogeneous Dirichlet boundary conditions. At first, the...
https://arxiv.org/list/math.AP/2024-09?skip=50&show=50
Analysis of PDEs Sep 2024
analysis of pdessep2024
https://arxiv.org/abs/2307.04110v2
[2307.04110v2] Learning Space-Time Continuous Neural PDEs from Partially Observed States
Abstract page for arXiv paper 2307.04110v2: Learning Space-Time Continuous Neural PDEs from Partially Observed States
learning space
https://www.mapleprimes.com/questions/237339-Error-In-System-Of-Pdes--Equations-
Error in system of Pdes equations - MaplePrimes
errorsystempdesequations
https://www.cms.gov/medicare/prescription-drug-coverage/prescriptiondrugcovcontra/hpms-guidance-history-items/cms1185015
Modified Q&A Addressing Drug Costs Reported on Prescription Drug Events (PDEs) | CMS
q adrug costs
https://arxiv.org/abs/2510.01370
[2510.01370] SPUS: A Lightweight and Parameter-Efficient Foundation Model for PDEs
Abstract page for arXiv paper 2510.01370: SPUS: A Lightweight and Parameter-Efficient Foundation Model for PDEs
https://arxiv.org/abs/1806.10593
[1806.10593] Simple Second-Order Finite Differences for Elliptic PDEs with Discontinuous...
Abstract page for arXiv paper 1806.10593: Simple Second-Order Finite Differences for Elliptic PDEs with Discontinuous Coefficients and Interfaces
second orderfinite differences
https://arxiv.org/list/math.AP/recent?skip=35&show=50
Analysis of PDEs
analysispdes
https://arxiv.org/list/math.AP/pastweek?skip=75&show=25
Analysis of PDEs
analysispdes
https://arxiv.org/list/math.AP/new
Analysis of PDEs
analysispdes
https://openreview.net/forum?id=MZPGZsuwqr
A neural multilevel method for high-dimensional parametric PDEs | OpenReview
In scientific machine learning, neural networks recently have become a popular tool for learning the solutions of differential equations. However, practical...
high dimensionalneuralmultilevelmethodparametric
https://arxiv.org/list/math.AP/2020-08?skip=350&show=25
Analysis of PDEs Aug 2020
analysis of pdesaug2020
https://www.jmlr.org/beta/papers/v24/22-1075.html
Neural Q-learning for solving PDEs
q learningneuralsolvingpdes
https://www.wolfram.com/wolfram-u/courses/mathematics/2025-colloquium-fem/
Numerical Methods for PDEs and Their Applications: Wolfram U Colloquium
Colloquium focuses on recent work in numerical methods by research experts. Additional presentation by Wolfram Language developer on how finite element method...
numerical methodspdesapplicationswolframcolloquium
https://www.mathworks.com/help/pde/pde-problem-setup.html?s_tid=CRUX_lftnav
General PDEs - MATLAB & Simulink
Solve general linear and nonlinear PDEs for stationary, time-dependent, and eigenvalue problems
generalpdesmatlabsimulink
https://sites.google.com/view/anomaliesinpdes
Anomalies in PDEs 2026
Anomalies in PDEs is a conference within the framework of the research project Anomalies in partial differential equations and applications. It focuses on...
anomaliespdes2026
https://openreview.net/forum?id=vFATIZXlCm
UGrid: An Efficient-And-Rigorous Neural Multigrid Solver for Linear PDEs | OpenReview
Numerical solvers of Partial Differential Equations (PDEs) are of fundamental significance to science and engineering. To date, the historical reliance on...
https://sites.google.com/view/pdesinaction/contact
PDEs in Action - Contact
Contact Information: Prof. Tirthankar Bhattacharyya, Department of Mathematics, IISc Bangalore. Email: pdesinaction@gmail.com
in actionpdes
https://openreview.net/forum?id=ZZTkLDRmkg
BENO: Boundary-embedded Neural Operators for Elliptic PDEs | OpenReview
Elliptic partial differential equations (PDEs) are a major class of time-independent PDEs that play a key role in many scientific and engineering domains such...
neural operatorsbenoboundaryembeddedelliptic
https://arxiv.org/list/math.AP/pastweek?skip=100&show=25
Analysis of PDEs
analysispdes
https://sites.google.com/view/pdesinaction/application
PDEs in Action - Application
Interested Participants are required to fill the application form through the google form with their latest CV. Selected participants will be informed by an...
in actionpdesapplication
https://www.kth.se/math/kalender/phd-course-nonlinear-pdes-and-free-boundaries-1.1351903?date=2024-09-03&orgdate=2024-05-15&length=1&orglength=0
PhD Course: Nonlinear PDEs and free boundaries | KTH
phd coursenonlinearpdesfreeboundaries
https://www.kth.se/math/kalender/malte-braack-the-concept-of-mapped-coercivity-for-nonlinear-pdes-1.1316627?date=2024-03-21&orgdate=2024-02-13&length=1&orglength=0
Malte Braack: The concept of mapped coercivity for nonlinear PDEs | KTH
the conceptmalte
https://www.wolfram.com/language/11/partial-differential-equations/interactively-solve-and-visualize-pdes.html.en?footer=lang
Interactively Solve and Visualize PDEs: New in Wolfram Language 11
new inwolfram languageinteractivelysolvevisualize
https://www.cms.gov/medicare/prescription-drug-coverage/prescriptiondrugcovcontra/hpms-guidance-history-items/cms064351
Q&A Addressing Drug Costs Reported on Prescription Drug Events (PDEs) | CMS
q adrug costsaddressing
https://openreview.net/forum?id=SytuCWihJr¬eId=XmZ6lPDtRc
CHAROT: Robustly controlling chaotic PDEs with partial observations | OpenReview
Control of chaotic partial differential equations is challenging but valuable, with far-reaching applications in energy systems, economics, fluid dynamics and...
controllingchaoticpdespartialobservations
https://arxiv.org/abs/1408.3657
[1408.3657] Evolution PDEs and augmented eigenfunctions. Half-line
Abstract page for arXiv paper 1408.3657: Evolution PDEs and augmented eigenfunctions. Half-line
14083657evolutionpdesaugmented
https://crossfields.impan.pl/
CrossFields PDEs
pdes
https://sites.google.com/view/pdesinaction/programme
PDEs in Action - Programme
in actionpdesprogramme
https://www.wolfram.com/language/11/core-geometry/symbolic-pdes-over-regions.html.en?footer=lang
Symbolic PDEs over Regions: New in Wolfram Language 11
new inwolfram languagesymbolicpdesregions
https://sites.google.com/uniroma1.it/wsmor/home
Low rank and MOR for PDEs
About the workshop This workshop focuses on recent advances in low-rank techniques and model order reduction methods for the numerical approximation of partial...
lowrankmorpdes
https://pde-on-gpu.vaw.ethz.ch/
Solving PDEs in parallel on GPUs with Julia
in parallelsolvingpdesgpusjulia
https://www.nist.gov/publications/product-data-exchangethe-pdes-project-status-and-objectives
Product data exchange::the PDES project status and objectives | NIST
product data exchangeproject statuspdesobjectivesnist
https://pde.upc.edu/
PDEs & Applications
pdesapplications
https://arxiv.org/abs/2104.02903
[2104.02903] A Priori Analysis of Stable Neural Network Solutions to Numerical PDEs
Abstract page for arXiv paper 2104.02903: A Priori Analysis of Stable Neural Network Solutions to Numerical PDEs
https://openreview.net/forum?id=4jEjq5nhg1
Operator Learning with Neural Fields: Tackling PDEs on General Geometries | OpenReview
Machine learning approaches for solving partial differential equations require learning mappings between function spaces. While convolutional or graph neural...
operatorlearningneuralfields
https://www.southampton.ac.uk/research/projects/unifying-probabilistic-computation-for-pdes-linear-systems
Unifying Probabilistic Computation for PDEs and Linear Systems | University of Southampton
Unifying Probabilistic Computation for PDEs and Linear Systems.
probabilistic computationlinear systemsuniversity ofpdes
https://arxiv.org/abs/2603.03112v1
[2603.03112v1] From Complex Dynamics to DynFormer: Rethinking Transformers for PDEs
Abstract page for arXiv paper 2603.03112v1: From Complex Dynamics to DynFormer: Rethinking Transformers for PDEs
complex dynamics2603
https://nepdef.math.unipd.it/
Nonlinear Evolution PDEs and Fluid-dynamics
nonlinearevolutionpdesfluiddynamics
https://www.wolfram.com/mathematica/new-in-10/pdes-and-finite-elements/
PDEs and Finite Elements: New in Mathematica 10
Mathematica 10 extends its numerical differential equation-solving capabilities to include the finite element method.
finite elementspdesnewmathematica10
https://github.com/lukebhan/PDEControlGym
GitHub - lukebhan/PDEControlGym: This gym provides implementations of various PDEs for easy testing...
This gym provides implementations of various PDEs for easy testing and comparison of data-driven and classical PDE control algorithms. - GitHub -...